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Anna11 [10]
3 years ago
5

Y varies directly w² and inversely as the cube of x. what is y when w is 3 and x is2​

Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer: Points mine

Step-by-step explanation:

Zepler [3.9K]3 years ago
3 0

Answer:

897tgyiuytfyivohiy8tp9fyivohiy08[

Step-by-step explanation:

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A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 19.7, \sigma = 2

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{21.4 - 19.7}{2}

Z = 0.85

Z = 0.85 has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0
3 years ago
Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people
AlekseyPX

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = 6\frac{1}{2}

Amount of one serving contains = \frac{3}{4} cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}

Therefore, total number of servings available as per the given quantities:

\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

7 0
3 years ago
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